Singularities and bifurcations of 3-dimensional Poisson structure

Mathematics – Differential Geometry

Scientific paper

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TEX file, 19 pages

Scientific paper

We give a normal form for families of 3-dimensional Poisson structures. This
allows us to classify singularities with nonzero 1-jet and typical
bifurcations. The Appendix contains corollaries on classification of families
of integrable 1-forms on $R^3

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